Chaotic Transport in Dynamical Systems |
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| Author:
| Wiggins, Stephen |
| Series title: | Interdisciplinary Applied Mathematics Ser. |
| ISBN: | 978-0-387-97522-1 |
| Publication Date: | Dec 1991 |
| Publisher: | Springer New York
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| Imprint: | Springer |
| Book Format: | Hardback |
| List Price: | USD $109.99 |
Book Description:
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Provides a new and more realistic framework for describing the dynamics of non-linear systems. A number of issues arising in applied dynamical systems from the viewpoint of problems of phase space transport are raised in this monograph. Illustrating phase space transport problems arising in a variety of applications that can be modeled as time-periodic perturbations of planar Hamiltonian systems, the book begins with the study of transport in the associated two-dimensional Poincaré...
More DescriptionProvides a new and more realistic framework for describing the dynamics of non-linear systems. A number of issues arising in applied dynamical systems from the viewpoint of problems of phase space transport are raised in this monograph. Illustrating phase space transport problems arising in a variety of applications that can be modeled as time-periodic perturbations of planar Hamiltonian systems, the book begins with the study of transport in the associated two-dimensional Poincaré Map. This serves as a starting point for the further motivation of the transport issues through the development of ideas in a non-perturbative framework with generalizations to higher dimensions as well as more general time dependence. A timely and important contribution to those concerned with the applications of mathematics.